Question

What is m<4 if m<5 = (2x) and m<4 = (x + 9)º? Please

Answer 1

m∠4= 2x°

m∠5 = (x+9)°

case one: If both lie on the same plane then,

m∠4+ m∠5 = 180°

2x+x +9° = 180°

3x+9° = 180°

3x=171°

x= 171°/3

x= 57°

so,

m∠4 = 57° x 2° = 114°

m∠5= 57°+9° =66°

case two : If the angles are on opposite side of each other then,

m∠4=m∠5

2x= x+9°

2x-x=9°

x=9°

so,

m∠4m= 2x9 = 18°

∠5= 9+9= 18°

Answer 2

1.) m∠4 = 2x°

$→m∠4+ m∠5 = 180°$

$→2x+x +9° = 180°$

$→3x+9° = 180°$

$→3x=171°$

$→x= \frac{171°}{3}$

$→x= 57°$

So,

$m∠4 = 57° × 2° = 114°$

$m∠5= 57°+9° =66°$

2.) m∠5 = (x+9)°

$→m∠4=m∠5$

$→2x= x+9°$

$→2x-x=9°$

$→x=9°$

So,

$m∠4m= 2×9 = 18°$

$∠5= 9+9= 18°$